Lorentzian 3d gravity with wormholes via matrix models

DSpace/Manakin Repository

Lorentzian 3d gravity with wormholes via matrix models

Ambjørn, J.; Jurkiewicz, J.; Loll, R.; Vernizzi, G.

(2001) Utrecht University Repository

(Preprint)

Abstract

We uncover a surprising correspondence between a non-perturbative formulation of
three-dimensional Lorentzian quantum gravity and a hermitian two-matrix model
with ABAB-interaction. The gravitational transfer matrix can be expressed as the
logarithm of a two-matrix integral, and we deduce from the known structure of the
latter that the model has two phases. In the phase ... read more of weak gravity, well-defined
two-dimensional universes propagate in proper time, whereas in the strong-coupling
phase the spatial hypersurfaces disintegrate into many components connected by
wormholes. show less